Finster, Felix and Kraus, Margarita (2020) The regularized Hadamard expansion. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 491 (2): 124340. ISSN 0022-247X, 1096-0813
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A local expansion is proposed for two-point distributions involving an ultraviolet regularization in a four-dimensional globally hyperbolic space-time. The regularization is described by an infinite number of functions which can be computed iteratively by solving transport equations along null geodesics. We show that the Cauchy evolution preserves the regularized Hadamard structure. The resulting regularized Hadamard expansion gives detailed and explicit information on the global dynamics of the regularization effects. (C) 2020 Elsevier Inc. All rights reserved.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | QUANTUM-FIELD-THEORY; SINGULARITY STRUCTURE; 2-POINT FUNCTION; Hadamard expansion; Relativistic quantum field theory; Hyperbolic PDEs; Ultraviolet regularization |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics Mathematics > Prof. Dr. Felix Finster |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 08 Mar 2021 08:41 |
| Last Modified: | 08 Mar 2021 08:41 |
| URI: | https://pred.uni-regensburg.de/id/eprint/43377 |
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